211413101314112 has 28 divisors (see below), whose sum is σ = 423676564744236. Its totient is φ = 104659951142400.

The previous prime is 211413101314087. The next prime is 211413101314123.

211413101314112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 171343492350976 + 40069608963136 = 13089824^2 + 6330056^2 .

It is a super-2 number, since 2×211413101314112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16353110903 + ... + 16353123830.

Almost surely, 2^{211413101314112} is an apocalyptic number.

It is an amenable number.

211413101314112 is an abundant number, since it is smaller than the sum of its proper divisors (212263463430124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211413101314112 is a wasteful number, since it uses less digits than its factorization.

211413101314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32706234846 (or 32706234836 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

It can be divided in two parts, 21141310 and 1314112, that added together give a palindrome (22455422).

The spelling of 211413101314112 in words is "two hundred eleven trillion, four hundred thirteen billion, one hundred one million, three hundred fourteen thousand, one hundred twelve".